Respuesta :
Answer:
22/25
Step-by-step explanation:
The overlap between the 61% and the 75% is the 48%, which means that 13% of the people are married and have no kids (61-48=13)
The 75% includes the people who have one or more kids, and the people who have one or more kids and are married.
Now all we have to do is 13% + 75% = 88% = 22/25
Using Venn probabilities, it is found that there is a 0.88 = 88% probability that a person in a survey is married or has a child.
What is a Venn probability?
In a Venn probability, two non-independent events are related with each other, as are their probabilities.
The "or probability" is given by:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
In this question, the events are:
- Event A: Person is married.
- Event B: Person has a child.
The probabilities are given by:
[tex]P(A) = 0.61, P(B) = 0.75, P(A \cap B) = 0.48[/tex]
Hence:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
[tex]P(A \cup B) = 0.61 + 0.75 - 0.48[/tex]
[tex]P(A \cup B) = 0.88[/tex]
0.88 = 88% probability that a person in a survey is married or has a child.
More can be learned about Venn probabilities at https://brainly.com/question/25698611
